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Simplifying -5(8 + -2m) + 6(8m + 7) = 60 (8 * -5 + -2m * -5) + 6(8m + 7) = 60 (-40 + 10m) + 6(8m + 7) = 60 Reorder the terms: -40 + 10m + 6(7 + 8m) = 60 -40 + 10m + (7 * 6 + 8m * 6) = 60 -40 + 10m + (42 + 48m) = 60 Reorder the terms: -40 + 42 + 10m + 48m = 60 Combine like terms: -40 + 42 = 2 2 + 10m + 48m = 60 Combine like terms: 10m + 48m = 58m 2 + 58m = 60 Solving 2 + 58m = 60 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 58m = 60 + -2 Combine like terms: 2 + -2 = 0 0 + 58m = 60 + -2 58m = 60 + -2 Combine like terms: 60 + -2 = 58 58m = 58 Divide each side by '58'. m = 1 Simplifying m = 1
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